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Finding the Fourth Proportional to 31,530.36, 43,505.10 and 18,098.76

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Solution

The fourth proportional to 31,530.36, 43,505.10 and 18,098.76 is: 24,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,530.36 : 43,505.10 = 18,098.76 : x
  2. Step 2: Convert to fraction form
    31,530.36/43,505.10 = 18,098.76/x
  3. Step 3: Cross multiply
    31,530.36x = 43,505.10 × 18,098.76
  4. Step 4: Simplify right side
    31,530.36x = 787,388,363.68
  5. Step 5: Solve for x
    x = 787,388,363.68/31,530.36
  6. Step 6: Final answer
    x = 24,972.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.